Splitting for a non-Markovian tandem queue

Anne Buijsrogge*, Pieter-Tjerk de Boer, Werner R.W. Scheinhardt

*Corresponding author for this work

Research output: Contribution to conferenceAbstractAcademic

Abstract

In this talk, we consider a non-Markovian tandem queue and we use splitting in order to estimate the probability that the total number of customers in this tandem queue reaches some high level N during a busy cycle of the system. We present a splitting scheme, and we give some insights in how we prove that our splitting scheme results in an asymptotically efficient estimator for the probability of interest. Among these insights, we present the decay rate starting from some general point in the state space.
Original languageEnglish
Publication statusPublished - 2021
Event13th International Workshop on Rare-Event Simulation, RESIM 2021 - online, Paris, France
Duration: 18 May 202121 May 2021
Conference number: 13
https://resim2021.sciencesconf.org/

Workshop

Workshop13th International Workshop on Rare-Event Simulation, RESIM 2021
Abbreviated titleRESIM 2021
Country/TerritoryFrance
CityParis
Period18/05/2121/05/21
Internet address

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